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Finding the Fourth Proportional to 3,562.96, 5,344.80 and 966.16

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Solution

The fourth proportional to 3,562.96, 5,344.80 and 966.16 is: 1,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.96 : 5,344.80 = 966.16 : x
  2. Step 2: Convert to fraction form
    3,562.96/5,344.80 = 966.16/x
  3. Step 3: Cross multiply
    3,562.96x = 5,344.80 × 966.16
  4. Step 4: Simplify right side
    3,562.96x = 5,163,931.97
  5. Step 5: Solve for x
    x = 5,163,931.97/3,562.96
  6. Step 6: Final answer
    x = 1,449.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.